Hyperoctahedral group
Summary
The hyperoctahedral groups are a family of mathematical groups that arise as the group of symmetries of the square, the cube, and their higher-dimensional counterparts (the hypercubes), as well as the corresponding dual polytopes (the regular octahedron and its higher-dimensional counterparts, the cross-polytopes). There is one hyperoctahedral group for each dimension .
Further reading
- Wikipedia, page 24268961, revision 1370716862, Hyperoctahedral group. adopted
About this page
| Tag | 4E4GF0RJVT |
|---|---|
| URI | m2://4E4GF0RJVT |
| Aliases | hyper-octahedral-group, hyper-pyritohedral-group, hyperoctahedral-symmetry, hyperpyritohedral-group, hyperpyritohedral-symmetry, signed-permutation-group, signed-symmetric-group |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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